Highest Common Factor of 4243, 7026 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 4243, 7026 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4243, 7026 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 4243, 7026 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 4243, 7026 is 1.

HCF(4243, 7026) = 1

HCF of 4243, 7026 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 4243, 7026 is 1.

Highest Common Factor of 4243,7026 using Euclid's algorithm

Highest Common Factor of 4243,7026 is 1

Step 1: Since 7026 > 4243, we apply the division lemma to 7026 and 4243, to get

7026 = 4243 x 1 + 2783

Step 2: Since the reminder 4243 ≠ 0, we apply division lemma to 2783 and 4243, to get

4243 = 2783 x 1 + 1460

Step 3: We consider the new divisor 2783 and the new remainder 1460, and apply the division lemma to get

2783 = 1460 x 1 + 1323

We consider the new divisor 1460 and the new remainder 1323,and apply the division lemma to get

1460 = 1323 x 1 + 137

We consider the new divisor 1323 and the new remainder 137,and apply the division lemma to get

1323 = 137 x 9 + 90

We consider the new divisor 137 and the new remainder 90,and apply the division lemma to get

137 = 90 x 1 + 47

We consider the new divisor 90 and the new remainder 47,and apply the division lemma to get

90 = 47 x 1 + 43

We consider the new divisor 47 and the new remainder 43,and apply the division lemma to get

47 = 43 x 1 + 4

We consider the new divisor 43 and the new remainder 4,and apply the division lemma to get

43 = 4 x 10 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4243 and 7026 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(43,4) = HCF(47,43) = HCF(90,47) = HCF(137,90) = HCF(1323,137) = HCF(1460,1323) = HCF(2783,1460) = HCF(4243,2783) = HCF(7026,4243) .

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Frequently Asked Questions on HCF of 4243, 7026 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 4243, 7026?

Answer: HCF of 4243, 7026 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4243, 7026 using Euclid's Algorithm?

Answer: For arbitrary numbers 4243, 7026 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.